Question

12
diagonal
the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find other​

Answer 1

$\Large{\tt{\underline{\underline{\red{Given}}}}}$

• Area of rhombus = 112cm²
• Diagonal of rhombus = 14cm

$\Large{\tt{\underline{\underline{\red{Find\;out}}}}}$

• Other diagonal

$\Large{\tt{\underline{\underline{\red{Solution}}}}}$

As we know that

Area of rhombus = ½ × product of diagonals

★ Let the other diagonal be a

➟ 112 = ½ × 14 × a

➟ 112 = 7a

➟ a = 112/7

➟ a = 16 cm

Hence, the other diagonal of rhombus is 16cm

$\Large{\tt{\underline{\underline{\red{Extra\: Information}}}}}$

•) Area of Parallelogram = base × height

•) Area of trapezium = ½ × height × sum of parallel sides

Answer 2

$area \: of \: rhombus = (d1 \times d2) \times \frac{1}{2} \\ \\ where \: d1 \: and \: d2 \: are \: diagonals \\ \\ given\: one \: diagonal \: = 14cm \\ \\ area \: of \: rhombus = 112cm {}^{2} \\ \\ according \: to \: the \: question \\ \\ = > 112 = (14 \times d2) \times \frac{1}{2} \\ \\ = > 224 = 14 \times d2 \\ \\ = > d2 = 16cm$

HOPE IT HELPS !!!!